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Finding the Fourth Proportional to 316.59, 471.89 and 306.64

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Solution

The fourth proportional to 316.59, 471.89 and 306.64 is: 457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.59 : 471.89 = 306.64 : x
  2. Step 2: Convert to fraction form
    316.59/471.89 = 306.64/x
  3. Step 3: Cross multiply
    316.59x = 471.89 × 306.64
  4. Step 4: Simplify right side
    316.59x = 144,700.35
  5. Step 5: Solve for x
    x = 144,700.35/316.59
  6. Step 6: Final answer
    x = 457.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.